Search a number
-
+
687475320 = 233571635021
BaseRepresentation
bin101000111110100…
…000101001111000
31202220121100211220
4220332200221320
52401443202240
6152114552040
723015305140
oct5076405170
91686540756
10687475320
11323075424
12172298620
13ac57563c
1467437920
154054b5d0
hex28fa0a78

687475320 has 128 divisors (see below), whose sum is σ = 2371991040. Its totient is φ = 156142080.

The previous prime is 687475319. The next prime is 687475333. The reversal of 687475320 is 23574786.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134410 + ... + 139430.

It is an arithmetic number, because the mean of its divisors is an integer number (18531180).

Almost surely, 2687475320 is an apocalyptic number.

687475320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687475320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185995520).

687475320 is an abundant number, since it is smaller than the sum of its proper divisors (1684515720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

687475320 is a wasteful number, since it uses less digits than its factorization.

687475320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5205 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 687475320 is about 26219.7505708960. The cubic root of 687475320 is about 882.5765226146.

The spelling of 687475320 in words is "six hundred eighty-seven million, four hundred seventy-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 163 168 210 280 326 420 489 652 815 840 978 1141 1304 1630 1956 2282 2445 3260 3423 3912 4564 4890 5021 5705 6520 6846 9128 9780 10042 11410 13692 15063 17115 19560 20084 22820 25105 27384 30126 34230 35147 40168 45640 50210 60252 68460 70294 75315 100420 105441 120504 136920 140588 150630 175735 200840 210882 281176 301260 351470 421764 527205 602520 702940 818423 843528 1054410 1405880 1636846 2108820 2455269 3273692 4092115 4217640 4910538 5728961 6547384 8184230 9821076 11457922 12276345 16368460 17186883 19642152 22915844 24552690 28644805 32736920 34373766 45831688 49105380 57289610 68747532 85934415 98210760 114579220 137495064 171868830 229158440 343737660 687475320